Reference: www.mathpages.com/home367.htm[/URL](adsbygoogle = window.adsbygoogle || []).push({});

On page 2 of reference the formula is given

(x+y)^p - x^p - y^p = pxy(x=y)Q(x,y) where Q(x,y) is a homogenous integer function of degree p-3.

If we insert a number of different value of p into the equation, it appears that

Q(x,y) = (x^2 = xy + y^2)^((p-3)/2)

Is there an easy way to prove this without getting lost in infinite series calculations, or is there a proof already in print?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Germain primes

Loading...

Similar Threads - Germain primes | Date |
---|---|

I Prime Subfiellds - Lovett, Proposition 7.1.3 ... | Apr 14, 2017 |

I Irreducibles and Primes in Integral Domains ... | Apr 5, 2017 |

Sophie Germain Triangular Numbers: An Explicit (Simple/r) Formula via Pell Numbers | Mar 17, 2011 |

Conjecture: Sophie Germain Triangles & x | 2y^2 + 2y - 3 = z^2 | Jan 11, 2011 |

Proof of Goldbach,Polignac,Legendre,Sophie Germain conjecture.pdf | Sep 27, 2010 |

**Physics Forums - The Fusion of Science and Community**